2026 · Q90
For the next two (02) items that follow : PQR is a triangle such that QP = QR = 15 cm and PR = 18 cm. PN, QM and RT are the altitudes of the triangle which intersect at O. What is the ratio of QO to OM?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A11 : 9
- B11 : 8
- C25 : 27
- D7 : 9
Explanation
From the coordinate setup, Q = (0, 12), O = (0, 27/4) and M = (0, 0). Hence QO = 12 − 27/4 = 21/4 and OM = 27/4. The required ratio is QO : OM = 21 : 27 = 7 : 9, option D.